Source code for cil.optimisation.operators.ZeroOperator

#  Copyright 2019 United Kingdom Research and Innovation
#  Copyright 2019 The University of Manchester
#
#  Licensed under the Apache License, Version 2.0 (the "License");
#  you may not use this file except in compliance with the License.
#  You may obtain a copy of the License at
#
#      http://www.apache.org/licenses/LICENSE-2.0
#
#  Unless required by applicable law or agreed to in writing, software
#  distributed under the License is distributed on an "AS IS" BASIS,
#  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
#  See the License for the specific language governing permissions and
#  limitations under the License.
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# Authors:
# CIL Developers, listed at: https://github.com/TomographicImaging/CIL/blob/master/NOTICE.txt

import numpy as np
from cil.framework import ImageData
from cil.optimisation.operators import LinearOperator


[docs]
class ZeroOperator(LinearOperator):
    r'''ZeroOperator:  O: X -> Y,  maps any element of :math:`x\in X` into the zero element :math:`\in Y,  O(x) = O_{Y}`

        :param gm_domain: domain of the operator
        :param gm_range: range of the operator, default: same as domain

        Note:

        .. math::
                O^{*}: Y^{*} -> X^{*} \text{(Adjoint)}
                < O(x), y > = < x, O^{*}(y) >
     '''
    def __init__(self, domain_geometry, range_geometry=None):
        if range_geometry is None:
            range_geometry = domain_geometry.clone()
        super(ZeroOperator, self).__init__(domain_geometry=domain_geometry,
                                           range_geometry=range_geometry)


[docs]
    def direct(self,x,out=None):
        '''Returns O(x)'''
        if out is None:
            return self.range_geometry().allocate(value=0)
        else:
            out.fill(self.range_geometry().allocate(value=0))
            return out



[docs]
    def adjoint(self,x, out=None):
        '''Returns O^{*}(y)'''
        if out is None:
            return self.domain_geometry().allocate(value=0)
        else:
            out.fill(self.domain_geometry().allocate(value=0))
            return out



[docs]
    def calculate_norm(self, **kwargs):
        '''Evaluates operator norm of ZeroOperator'''
        return 0